I am trying to find an equation for the graph that crosses the Y axis at (0,100), X axis at (100, 0), is a curve with adjustable degree of "bending" and has an axis of symmetry y(x) = x. Here are few examples of such graphs:
I've tried quadratic, cubic, quartic equations but I can't adjust the degree at which the curve is bent. Any hints/tips appreciated.
I know a function like the second one. Have a look at it to find if it works or not. That is $$x^{\frac{2}3}+y^{\frac{2}3}=100^{\frac{2}3}$$